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**A strongly competitive randomized paging algorithm.**
*(English)*
Zbl 0731.68040

Summary: The paging problem is that of deciding which pages to keep in a memory of k pages in order to minimize the number of page faults. We develop the partitioning algorithm, a randomized on-line algorithm for the paging problem. We prove that its expected cost on any sequence of requests is within a factor of \(H_ k\) of optimum. \((H_ k\) is the k-th harmonic number, which is about ln(k).) No on-line algorithm can perform better by this measure. Our result improves by a factor of two the best previous algorithm.

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\textit{L. A. McGeoch} and \textit{D. D. Sleator}, Algorithmica 6, No. 6, 816--825 (1991; Zbl 0731.68040)

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### References:

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[2] | Fiat, A., Karp, R. M., Luby, M., McGeoch, L. A., Sleator, D. D., and Young, N. E. Competitive paging algorithms.Journal of Algorithms, to appear, 1991. · Zbl 0753.68018 |

[3] | Manasse, M. S., McGeoch, L. A., and Sleator, D. D. Competitive algorithms for on-line problems. InProceedings of the 20th Annual ACM Symposium on Theory of Computing, Chicago, 1988, pages 322–333. · Zbl 0796.68042 |

[4] | Manasse, M. S., McGeoch, L. A., and Sleator, D. D. Competitive algorithms for server problems.Journal of Algorithms, 11(2):208–230, June 1990. · Zbl 0705.68023 |

[5] | Sleator, D. D., and Tarjan, R. E. Amortized efficiency of list update and paging rules.Communications of the ACM, 28(2):202–208, February 1985. |

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